a.Lfind the equation of the sphere that has a center at (2,1,4) and a point on the sphere at \(-1,-2,2). b) Find the equation of the plane that contains the point (0,0,3). (1,2, -1) and (2,-1,3). c.) Find the radius of the circle traced by the intersection of the plane you found in (b) with the sphere you found in (a). (Hint: set z = k, k €Z until you find the largest chord of the tircle, desmos will help a lot for this problem, include a screenshot of your work on desmos for this problem if you decide to use it.) %3D
a.Lfind the equation of the sphere that has a center at (2,1,4) and a point on the sphere at \(-1,-2,2). b) Find the equation of the plane that contains the point (0,0,3). (1,2, -1) and (2,-1,3). c.) Find the radius of the circle traced by the intersection of the plane you found in (b) with the sphere you found in (a). (Hint: set z = k, k €Z until you find the largest chord of the tircle, desmos will help a lot for this problem, include a screenshot of your work on desmos for this problem if you decide to use it.) %3D
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter10: Analytic Geometry
Section10.4: Analytic Proofs
Problem 28E
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